**MATHEMATICS **

** **

The demands of Common Core Mathematics Standards challenge students to strengthen
their skills in order for students to meet the College and Career Readiness standards. Focus, coherence, and rigor are stressed, allowing our faculty to teach fewer topics with more depth and
practice for students. This in turn increases the likelihood that students will understand and master mathematics concepts for their respective courses. With the demands of a technologically-based
21^{st} century global community only increasing, our curriculum framework prepares students not only for college but for a satisfying, productive career in the global economic
landscape.

One of the important goals of the Mathematics Department is to help students develop
an expertise in the following **Mathematical Practices** **( Source: NYSED
site)**:

- Make sense of the problems and persevere in solving them.
- Reason abstractly and quantitatively.
- Construct viable arguments and critique the reasoning of others.
- Model with mathematics to solve everyday problems.
- See appropriate tools strategically.
- Attend to precision.
- Look for and make use of structure.
- Look for and express regularity in repeated reasoning

**COURSES**

**MIDDLE
SCHOOL**

__Mathematics 7 Common Core____(1 Year 1 Credit)__

This Common Core-aligned course allows students to review concepts taught in the 6^{th} grade curriculum and extend the depth and complexity of those topics through investigation, discovery, and application. Additionally, this course introduces new
content and provides a platform for problem-solving, analysis and critical thinking to be woven throughout the content. Topics include but are not limited to, proportionality, ratios and rates,
number operations, percent application, expressions, equations and inequalities, and probability and statistics.

**Requirements**: Midterm, NYS Exam

__Mathematics 8 Common Core____(1 Year 1 Credit)__

In this Common Core-aligned course, eighth graders will work extensively with linear equations, focusing on in-depth understanding and interpretation as it relates to real world application. There will be a concentration on the slope and initial value of a function, as well as different methods of solving systems of linear equations such as Graphing, Elimination and Substitution. Additionally, students will engage in geometric topics, including but not limited to, similarity, and congruence of geometric shapes. Other concepts taught include the Number System (rational/irrational numbers), the Pythagorean Theorem, and Exponential functions

**Requirements**: Midterm, NYS Exam

**Special Note: A Ti-84 graphing
calculator is required for** **high school math
courses****.**

** **

**Algebra I Common
Core** (1 Year 1 Credit)

This Common Core-aligned course is the first Regent-level Mathematics course offered for High School students. Students will master the basic mathematical practices outlined by NYSED. Algebra I students will also interpret structure of math expressions, perform and understand various mathematical problems, written and oral expressions, and problems with polynomials, rational expressions, linear equations, quadratic and exponential functions, and absolute value. Additionally, students will engage principals and problems of coordinate geometry represent equations and inequalities graphically. This course may also be taken as an Honors course.

**Requirements**: Midterm,
Regent Examination

**Geometry
Common Core** (1 Year 1 Credit)

In this Regent-level course, students will master the basic mathematical practices outlined by NYSED. Students will focus on right triangles and trigonometry, circles, and quadrilaterals, expressing geometric properties with equations, geometric measurement and dimensions, and modeling as it relates to geometry. Students will also explore geometry theorems and postulates pertinent to their studies. Geometry stresses the use of reasoning and proofs, challenging students to solve problems using the concepts they have learned. This course may also be taken as an Honors course.

**Requirements**: Midterm, Regent
Examination

*Prerequisite: Algebra I Common
Core*

__Consumer Math____(1 Year 1 Credit)__

This course assists students with preparation to enter the workforce. It combines knowledge of basic mathematic competencies alongside practical applications utilized within employment based opportunities. Exploration into introductory personal finances supports success in solidifying career readiness. Students work towards application of topics including but not limited to, decimal and percent, fractions, wages, deductions, taxes, insurance, income and expenses, budgeting. (TI 84 calculator is not required)

**Algebra II Common
Core** (1 Year 1 Credit)

Algebra II is a Regents-level course that integrates student conceptual understanding and application for the purpose of fostering deep rooted thinking. The topics covered, include but are not limited to, Advanced Quadratic Functions, Equations and Inequalities; Linear Systems in Three variables, Exponential and Logarithmic Functions, Rational Functions, Sequences and Series, Probability and Statistics, Quadratic Relations and Conic Sections, Trigonometric Identities and Equations. Students will be challenged to explore the utilization of these topics in intensive modeling applications.

**Requirements**: Midterm, Regent
Examination

*Prerequisite: Geometry Common
Core*

** **

**Pre-Ca****lculus** (1 Year 1 Credit)

Pre-Calculus is an advanced course designed to reinforce concepts taught in Algebra II. The course also introduces new material to prepare students to study Calculus at the collegiate level. Students are challenged to use critical thinking skills to apply mathematical concepts in real world applications. Students study the following topics: functions, logarithms, trigonometry, analytical geometry, probability, matrices and systems of equations.

**Requirements**: Midterm, Final Examination

*Prerequisite: Algebra II or equivalent** and/or departmental recommendation
*

__AP Calculus AB____(1 Year 1 Credit)__

AP Calculus AB is an advanced placement course that encompasses one semester of college Calculus. AP Calculus teaches students functions graphs, limits, derivatives, and integrals. Students work with functions graphically, numerically, analytically, and verbally, and emphasize the connections among these representations. Students communicate mathematics by explaining solutions verbally and in writing. Students use graphing calculators to help solve problems, experiment, interpret results, and support conclusions. Preparation for the class includes a summer assignment which consists of The Preparation for Calculus Chapter and reviews functions and the four ways to show them: graphically, numerically, analytically, and verbally. Students are required to explain what a graph represents to the instructor.

**Requirements**: Midterm, AP Calculus Exam

* Prerequisite:
Pre-Calculus**and/or departmental
recommendation*